3 Fraction Calculator With Solution

Fraction Multiplication Formula:

\[ Product = \frac{num1}{den1} \times \frac{num2}{den2} \times \frac{num3}{den3} = \frac{num1 \times num2 \times num3}{den1 \times den2 \times den3} \]

Numerator 1:

Denominator 1:

Numerator 2:

Denominator 2:

Numerator 3:

Denominator 3:

Product Result:

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1. What is Fraction Multiplication?

Fraction multiplication is a mathematical operation where we multiply the numerators together and the denominators together. The product of fractions a/b, c/d, and e/f is calculated as (a×c×e)/(b×d×f).

2. How Does the Calculator Work?

The calculator uses the fraction multiplication formula:

\[ Product = \frac{num1}{den1} \times \frac{num2}{den2} \times \frac{num3}{den3} = \frac{num1 \times num2 \times num3}{den1 \times den2 \times den3} \]

Where:

\( num1, num2, num3 \) — Numerators of the fractions
\( den1, den2, den3 \) — Denominators of the fractions

Explanation: The calculator multiplies all numerators together and all denominators together, then simplifies the resulting fraction to its lowest terms.

3. Importance of Fraction Multiplication

Details: Fraction multiplication is fundamental in mathematics, used in various applications including probability calculations, scaling recipes, solving proportions, and many real-world problems involving parts of wholes.

4. Using the Calculator

Tips: Enter all six values (three numerators and three denominators). Denominators must be positive integers. The calculator will show the result as an unsimplified fraction, simplified fraction, and decimal approximation.

5. Frequently Asked Questions (FAQ)

Q1: Can I use negative numbers?
A: Yes, numerators can be negative, but denominators must be positive integers.

Q2: What if a denominator is zero?
A: Division by zero is undefined. The calculator requires all denominators to be at least 1.

Q3: How does the simplification work?
A: The calculator finds the greatest common divisor (GCD) of the numerator and denominator and divides both by this value.

Q4: Can I use decimal numbers?
A: This calculator is designed for integer inputs. For decimal fractions, convert them to proper fractions first.

Q5: What if the result is an improper fraction?
A: The calculator will display improper fractions as-is. You can convert them to mixed numbers if desired.